(0,2)(3,686) exponential function

Answer:

The angles are supplementary.

x = 31

Step-by-step explanation:

The way the two angles lay together and make a straight line shows that they are supplementary. Supplementary means that they add up to 180°

Use this idea to write an equation.

2x + 3x + 25 = 180

combine like terms

5x + 25 = 180

subtract 25

5x = 155

divide by 5

x = 31

Answer:

x = 31

Step-by-step explanation:

(3x + 25) and 2x are a linear pair and are supplementary, that is

3x + 25 + 2x = 180

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

Answer:

x = 3+ 5/6y

Step-by-step explanation:

6x-5y=18

Add 5y to each side

6x-5y+5y=18+5y

6x = 18+5y

Divide each side by 6

6x/6 = (18+5y)/6

x = 18/6 + 5y/6

x = 3+ 5/6y

Answer:

2

Step-by-step explanation:

The equation is equal to 6-3x=8x-16. This gives 11x=22. x=2

X would be the number of lawns he mows. We dont know that answer.

Y would be the amount he is paid. So i think it would be

Y=35 + X

Trying my best here im not good with algebra. I know that Y goes with the 35$

Answer:

on the same dot but on the left sid

Step-by-step explanation:

The expression for the height of the original cylinder, h, in terms of x is h = 5x.

Let's break down the problem step by step to find the expression for the height of the cylinder, h, in terms of x.

The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. In this case, the base radius is given as 3x cm. So, the volume of the original cylinder can be expressed as V = π(3x)²h = 9πx²h.

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. In this case, the radius of each sphere is given as (1/2)x cm. So, the volume of each sphere can be expressed as V = (4/3)π[(1/2)x]³ = (1/6)πx³.

Since all the metal from the cylinder is used to make spheres, the total volume of the spheres should be equal to the volume of the cylinder. We can set up an equation based on this:

Total Volume of Spheres = Volume of Cylinder

(270 spheres) * (Volume of each sphere) = (Volume of the cylinder)

270 * [(1/6)πx³] = 9πx²h

Simplifying the equation:

(270/6) * x³ = 9x²h

45x³ = 9x²h

Dividing both sides by 9x²:

5x = h

Expression for h in terms of x:

After simplifying the equation, we find that the height of the original cylinder, h, can be expressed as h = 5x.

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Answer:

Step-by-step explanation:

Given expression:

Distribute and simplify:

Apply distributive law

\(\\ \tt\longmapsto -0.5(20f-16)\)

\(\\ \tt\longmapsto -0.5(20f)-0.5(-16)\)

\(\\ \tt\longmapsto -10f+8\)

The equation that shows the relation ship between t and p is 0 ≤ t < 270.

A linear equation is an algebraic equation where the highest power of the variable is 1, and the equation represents a straight line when graphed.

Break down the information given in the problem to form an equation that relates the time t and the number of yards of painted fence p:

Tom painted 8 yards before running away, so Sid had to paint the remaining length of the fence, which is L - 8 yards, where L is the total length of the fence.

From noon to 12:30 p.m., Sid painted 14 - 8 = 6 yards.

From 12:30 p.m. to 2:00 p.m., Sid painted 32 - 14 = 18 yards.

From 2:00 p.m. to 2:30 p.m., Sid painted 38 - 32 = 6 yards.

We want to find an equation that relates the time t (in minutes) to the number of yards of painted fence p.

Based on the information above, we can create a piecewise equation that relates t and p:

p = { 8 + 0.2t, 0 ≤ t < 30

14 + 0.6(t - 30), 30 ≤ t < 90

32 + 0.4(t - 90), 90 ≤ t < 150

38 + 0.2(t - 150), 150 ≤ t < 210 }

Explanation of the equation:

The first segment of the piecewise equation, 8 + 0.2t, represents the yards of fence painted by Tom (8) plus the yards painted by Sid in the first 30 minutes (0.2t), where 0 ≤ t < 30.

The second segment, 14 + 0.6 (t - 30), represents the additional yards painted by Sid between 12:30 p.m. and 2:00 p.m., where 30 ≤ t < 90. The expression (t - 30) represents the time elapsed since 12:30 p.m., and the coefficient 0.6 represents the rate at which Sid is painting the fence in yards per minute during this period.

The third segment, 32 + 0.4 (t - 90), represents the additional yards painted by Sid between 2:00 p.m. and 2:30 p.m., where 90 ≤ t < 150. The expression (t - 90) represents the time elapsed since 2:00 p.m., and the coefficient 0.4 represents the rate at which Sid is painting the fence in yards per minute during this period.

The fourth segment, 38 + 0.2 (t - 150), represents the additional yards painted by Sid between 2:30 p.m. and 4:30 p.m., where 150 ≤ t < 210. The expression (t - 150) represents the time elapsed since 2:30 p.m., and the coefficient 0.2 represents the rate at which Sid is painting the fence in yards per minute during this period.

Note that we have limited the time t to be between noon and 4:30 p.m., which corresponds to 0 ≤ t < 270.

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Answer:

k is the variable

Step-by-step explanation:

The differential of the function w = x⁷sin(yz⁷) is given by dw = (7x⁶sin(yz⁷))dx + (x⁷z⁷cos(yz⁷))dy + (7x⁷yz⁶cos(yz⁷))dz.

To find the differential of the function w = x⁷sin(yz⁷), we need to calculate dw, which represents the differential of w. The differential of a function is a linear approximation that describes how the function changes with small variations in its variables. It can be expressed as a sum of partial derivatives multiplied by differentials of the variables involved.

Let's calculate the partial derivatives of w with respect to x, y, and z:

∂w/∂x = 7x⁶sin(yz⁷) (partial derivative of x⁷sin(yz⁷) with respect to x)

∂w/∂y = x⁷z⁷cos(yz⁷) (partial derivative of x⁷sin(yz⁷) with respect to y)

∂w/∂z = 7x⁷yz⁶cos(yz⁷) (partial derivative of x⁷sin(yz⁷) with respect to z)

Now we can express the differential dw as a sum of these partial derivatives multiplied by differentials dx, dy, and dz:

dw = (∂w/∂x)dx + (∂w/∂y)dy + (∂w/∂z)dz

Substituting the partial derivatives, we have:

dw = (7x⁶sin(yz⁷))dx + (x⁷z⁷cos(yz⁷))dy + (7x⁷yz⁶cos(yz⁷))dz

Therefore, the differential of the function w = x⁷sin(yz⁷) is given by dw = (7x⁶sin(yz⁷))dx + (x⁷z⁷cos(yz⁷))dy + (7x⁷yz⁶cos(yz⁷))dz.

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The United States will have 16 additional​ shirt(s) after the trade ​(enter a numeric response using an​ integer) and 0 additional​ boot(s). At the same​ time, Canada will be able to consume 14 additional​ shirt(s) as a result of the trade and 0 additional​ boot

With Alaska in the northwest and Hawaii extending the country's reach into the Pacific Ocean, the United States is a confederation of 50 states that encloses a sizable portion of North America. Significant Atlantic Coast cities include Washington, DC, and New York, a centre of international culture and economics. Chicago, a major city in the Midwest, is renowned for its significant architecture, whereas Hollywood, near Los Angeles on the west coast, is renowned for its film production.

If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.

The US will consume 16 shirts with trade. (4+12=16 and 16-2=14) The US will have 14 additional shirts.

With commerce, the US will consume 18 boots. 18-18=0

0 additional boots.

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Answer:

Step-by-step explanation:

The system of linear equations would be x = 2y + 4 and x + y = 25 if Brothers Bruce and Jack are looking for books at the library.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Brothers Bruce and Jack are looking for books at the library.

Bruce wants to get 4 more than twice the number of books Jack checks out.

Let x be the number of books Bruce checks out and y be the number of books Jack

The equation would be:

x = 2y + 4

x + y = 25

Thus, the system of linear equations would be x = 2y + 4 and x + y = 25 if Brothers Bruce and Jack are looking for books at the library.

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Answer:

0.4x  < 0.5x

Step-by-step explanation:

Let x = Amount of money Rosa and Albert earn each week

Rosa:

Rosa spends 0.4(x) and 2/5(x) each week on video games and pizza

That equals to :

Rosa spends 0.8x, or 80% of her allowance on video games and pizza

Albert

Albert spends 1/2(x) and 0.25(x) each week on video games and pizza

Albert spends 0.75x, or 75% of her allowance on video games

Rosa spends 0.4x on video games, and Albert spends 0.5x.

0.4x ≤ 0.5x

-Chetan K

Answer:

B)   5029 < 5.128

D)   2.001 < 2.100

E)    9.401 > 9.309

Step-by-step explanation:

B)   5029 < 5.128

D)   2.001 < 2.100

E)    9.401 > 9.309

The question is not complete, but there is enough information to solve your question.

Answer:

\(\displaystyle y-1=-\frac{2}{3}(x+5)\)

Step-by-step explanation:

Equation of a line

Given the slope of a line (m) and a point through which it passes (h,k), the slope-point form of the line is determined as follows:

y-k=m(x-h)

We are given the point (-5,1) and the slope m=-2/3. The equation of the line is:

\(\boxed{\displaystyle y-1=-\frac{2}{3}(x+5)}\)

Answer:

9x

Step-by-step explanation:

PEMDAS, x + 4 = 4x

4x+5=9x

=9x

Hope this helps

Answer:

5x+20

Step-by-step explanation:

Simplify:

5(x + 4)

5x + 20

Answer:

Step-by-step explanation:

45% is close to 1/2 (50%) and 76 is close to 80, so 1/2 of 80 is the best answer.

1/2 of 80 is 40

45% of 76 is 76 x 0.45 is 34.2

Answer:

1/2 of 80

Step-by-step explanation:

Answer:

no it is not able to be factored

Answer:

28

Step-by-step explanation:

2x-49 is opposite to an angle in line m

taking only line m

55+x+2x-49+90 = 180

3x = 84

x = 28

Answer: 28

Step-by-step explanation:

First gather all the numbers and equal it to 180.

55+x+2x-49+90=180

Then combine like terms you get

3x=84

Then divide 3 from 3x and 84 you get x=28

Answer:

D

Step-by-step explanation:

The rate of change is equal to m, the slope =

rise / run = (32-17) / (6-3)

The mean of C is 3 , the standard deviation of C is 1.7

since 3 of the 5 items of cotton clothing require a lower iron temperature. The standard deviation of C is 1.7, which is calculated as the square root of the variance, which is the average of the squared differences from the mean. This gives us an indication of how much the value of C is likely to vary from the mean.

The variance is calculated by subtracting the mean from each item of clothing and then squaring the result. This is then divided by the total number of items of clothing and summed. Taking the square root of this sum gives us the standard deviation of 1.7

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If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.

To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.

Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.

For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.

Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.

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Complete question is:

Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?

Answer: 77 children tickets were sold that day

Step-by-step explanation:

5.20x+9.50y=1255.40

x+y=167

                                               5.20x+9.50(167-x)=1255.40

x+y=167                                   5.20x+1586.50-9.50x=1255.40

-x    -x                                       -4.30x+1586.50=1255.40

y=167-x                                              -1586.50   -1586.50

                                                    -4.30x=-331.1

                                                      -4.30  -4.30

                                                       x=77

Step-by-step explanation:

x+2x+8 =200

3x=200-8

3x=192

x = 64

Martha has 64 pence

Peter jas 136 pence

In the given definitions, there are several difficulties and violations of the rules for definition by genus and difference. These include ambiguity, lack of specificity, and the inclusion of irrelevant information.

The rules being violated include the requirement for clear and concise definitions, inclusion of essential characteristics, and avoiding irrelevant or subjective statements.

12. The definition of a raincoat as an outer garment of plastic that repels water is too broad. It lacks specificity regarding the material and construction of the raincoat, as not all raincoats are made of plastic. Additionally, the use of "outer garment" is subjective and does not provide a clear distinction from other types of clothing.

13. The definition of a hazard as anything that is dangerous is too broad and subjective. It fails to provide a specific category or characteristics that define what qualifies as a hazard. The definition should include specific criteria or conditions that identify a hazard, such as the potential to cause harm or risk to safety.

14. The definition of sneezing as emitting wind audibly by the nose is too narrow and lacks clarity. It excludes other aspects of sneezing, such as the involuntary reflex and the expulsion of air through the mouth. The definition should encompass the essential characteristics of sneezing, including the reflexive nature and expulsion of air to clear the nasal passages.

15. The definition of a bore as a person who talks when you want him to listen is subjective and relies on personal preference. It does not provide objective criteria or essential characteristics to define a bore. A more appropriate definition would focus on the tendency to dominate conversations or disregard the interest or input of others.

In conclusion, these definitions violate the rules for definition by genus and difference by lacking specificity, including irrelevant information, and relying on subjective or ambiguous criteria. Clear and concise definitions should be based on essential characteristics and avoid personal opinions or subjective judgments.

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Using it's concept, it is found that there is a 0.8606 probability that the driver was not intoxicated.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, it is found that there are 62 + 76 + 254 + 598 = 990 deaths, of which 254 + 598 = 852 did not involve an intoxicated driver, hence the probability is given by:

p = 852/990 = 0.8606

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Answer:

(a+b)^2+(a-b)^2=2(a^2+b^2)

expanding:

a² + 2ab + b² + a² -2ab + b² = 2a² + 2b²

2a² + 2b² = 2a² + 2b²

Answer:

with what?

Step-by-step explanation: